Implementation of Multigrid Method for Solving Coupled Problem

Lim, Kean Siang (2021) Implementation of Multigrid Method for Solving Coupled Problem. Project Report. Universiti Sains Malaysia, Pusat Pengajian Kejuruteraan Mekanik. (Submitted)

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Abstract

Coupled problems were systems involving multiple interacting physical systems, were commonplace in nature, making study of it useful. Multigrid methods were algorithms useful for solving multiresolution problems. However, there was a lack of literature on the use of multigrid methods for solving coupled problems. Hence, this project was carried out with the aim of implementing multigrid on coupled problems and studying its performance characteristics. A PETSc example code was modified and used to study the implementation of multigrid for solving a coupled problem. The code was successfully executed to yield a solution. The code was then executed with different solver types and grid sizes to study its performance characteristics. The resulting performance data was plotted to identify the relationship between performance and grid size, and the performance comparison of different solver types. Large grid sizes were found to negatively impact performance of code. The most efficient solver was found from the solvers studied in this project.

Item Type: Monograph (Project Report)
Subjects: T Technology
T Technology > TJ Mechanical engineering and machinery > TJ1-1570 Mechanical engineering and machinery
Divisions: Kampus Kejuruteraan (Engineering Campus) > Pusat Pengajian Kejuruteraan Mekanikal (School of Mechanical Engineering) > Monograph
Depositing User: Mr Mohamed Yunus Mat Yusof
Date Deposited: 29 Nov 2022 12:49
Last Modified: 29 Nov 2022 12:49
URI: http://eprints.usm.my/id/eprint/55805

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